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Production
The output Q at a certain factory is related to inputs x and y by the equation:
Q = x^3 + 2xy^2 + 2y^3
If the current levels of input are x = 10 and y = 20, use calculus to estimate the change in input y that should be made to offset an increase of 0.5 in input x so that output will be maintained at its current level.
Write an ABEL program for a combinational logic function with five input bits N4-N0) representing an integer between 0 and 31 and two outputs M3 and M5 to indicate if the number is a multiple of 3 or 5.
Find the expected value (to you) of the game. If you play one game would you expect to win or lose the game? Explain.
Calculate the value of the appropriate test statistic
A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following:
Write the matrix of T in the standard basis of C^3. Find all eigenvalues of T. Is there a basis of C^3 such that the matrix of T in that basis is diagonal? If your answer is "NO", explain why.
Basic probability problems
Why does the graph of the basic exponential function lie entirely above the x-axis?
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
Find the number of deer in the park
Three-person Problem of Points
Find the Equation of the line which passes through the two given points and Solve the system using the graphing method.
Please explain how to create a function whose graph has the indicated characteristics for each of a and b
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